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A chemist mixes two liquids $\mathrm{A}$ and $\mathrm{B}$ to form a homogeneous mixture. The densities of the liquids are $2.0514 \mathrm{g} / \mathrm{mL}$ for $\mathrm{A}$ and $2.6678 \mathrm{g} / \mathrm{mL}$ for $\mathrm{B} .$ When she drops a small object into the mixture, she finds that the object becomes suspended in the liquid; that is, it neither sinks nor floats. If the mixture is made of $41.37$ percent $\mathrm{A}$ and $58.63$ percent $\mathrm{B}$ by volume, what is the density of the metal? Can this procedure be used in general to determine the densities of solids? What assumptions must be made in applying this method?

Basis: Let there be $100 \mathrm{ml}$ of total (A+B) solution,Thus we have volume fraction of $A=41.37 / 100=0.4137 \mathrm{ml} / \mathrm{ml}$Similarly, volume fraction of $\mathrm{B}=58.63 / 100=0.5863 \mathrm{ml} / \mathrm{ml}$Density of mixture can then be calculated using the fraction of each liquid and its density;$(0.4137 \mathrm{ml} / \mathrm{ml})^{*}(2.0514 \mathrm{g} / \mathrm{ml})+(0.5863 \mathrm{ml} / \mathrm{ml})^{*}(2.6678 \mathrm{g} / \mathrm{ml})=2.413 \mathrm{g} / \mathrm{ml}$The solid object should have the same density as the density of the mixture, since it is given to be suspended in the mixture. Thus the density of the solid object $=2.413 \mathrm{g} / \mathrm{ml}$This method can be in general used to determine the density of floating solid objects. It has to be ensured that the liquids are completely miscible.

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

Carleton College

University of Central Florida

Lectures

02:29

Chemistry is the science of matter, especially its chemical reactions, but also its composition, structure and properties. Chemistry deals with atoms and their interactions with other atoms, and particularly with the properties of chemical bonds. Chemistry also involves understanding the properties and interactions of individual atoms and molecules for use in larger-scale applications.

04:42

In chemistry and physics, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles and objects that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or sound. Matter exists in various states (known as phases) that are defined by various physical properties, such as state of matter, phase, shape, and density. The Standard Model of particle physics and the general theory of relativity describe fundamental particles and the fundamental forces acting between them that control the structure and dynamics of matter.

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the solution will simply take the density of Liquide. Angelique would be multiplied by their decimal percentages on some them up. This will then give us a weighted average density of the entire solution. So we have a density of 2.51 grams per mil leader for liquid A that has a percentage of 41.37 so converted to a decimal that's point for 137 We'll add that to look would be, which is 58 0.63% or 0.563 And multiply that by the density of liquid B 2.6678 We get a density of 2.413 grams per mil leader. That's the density of the solution. However, if the object remains suspended, does not sink, nor does it float. Then it must have the exact same density, so that is also the density of the object. This technique can be used in many cases to determine the density of solids so long as the solids did not dissolve in the mixture that is created

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